DOI QR코드

DOI QR Code

Precise Terrain Torrection for Gravity Measurement Considering the Earth's Curvature

지구 곡률을 고려한 중력의 정밀 지형보정

  • Choi, Kwang-Sun (Department of Earth Science Education, Busan National University) ;
  • Lee, Young-Cheol (Department of Earth Science Education, Busan National University) ;
  • Lim, Mu-Taek (Geology & Geoinformation Division, Korea Institute of Geoscience and Mineral Resources)
  • 최광선 (부산대학교 지구과학교육과) ;
  • 이영철 (부산대학교 지구과학교육과) ;
  • 임무택 (한국지질자원연구원 지질기반정보연구부)
  • Published : 2007.12.31

Abstract

The researchers compiled two sets of digital terrain data released by NORI (National Oceanographic Research Institute, Korea) and NIMA (National Imagery and Mapping Agency, USA) respectively and analyzed a new set of $3"{\times}3"$ gridded terrain data in order to calculate terrain correction value in gravity in and around the Korean Peninsula. Using this new set of terrain data, the researchers developed an effective algorithm to calculate precise terrain correction value in gravity considering Earth's curvature and coded a fortran program to evaluate terrain correction value covering the surface of which the radius reaches up to 166.735 km. The researchers also calculated terrain correction value over the southern part of Korea. According to the statistics of terrain correction value calculated in and around the Korean Peninsula up to 166.735 km of surface radius, the maximum value soars to 56.508 mGal and the mean value is 4.539 mGal.

한국 국립해양조사원의 수심자료와 미국 NIMA((National Imagery and Happing Agency)의 수치지형자료를 바탕으로 우리나라 일원에서 측정한 중력의 지형보정을 위한 위도 및 경도 간격이 각각 $3"{\times}3"$)인 지형자료를 재편집하였다. 이 자료를 바탕으로 지구 곡률을 고려한 정밀 지형보정값을 계산하기 위한 알고리즘을 개발하였고, 중력측정점으로부터 반지름 166.735 km인 원 내부에 대한 지형보정값을 계산하는 Fortran프로그램을 작성하였다. 이 알고리즘 및 프로그램을 이용하여 남한 전역에 대한 지형보정값을 계산하였다. 그 결과 최대값은 56.508 mGal 이고 평균값은 4.539 mGU이다.

Keywords

References

  1. 권병두, 권재월, 이희순, 1990, 다중 이차곡면 방정식을 이용한 중력자료의 지형보정. 한국지구과학회지, 11, 156-164
  2. 김성균, 류용규, 김재철, 1992, 개인용 컴퓨터에 의한 효율적인 중력의 지형보정. 한국지구과학회지, 13, 11-20
  3. 원지훈, 2004, 중력과 GPS자료에 의한 한반도 남부 및 인근 해역의 정밀 지오이드 연구. 부산대학교 이학박사학위 논문, 159 p
  4. 최광선, 1986, 한반도 남부의 중력에 대한 연구. 서울대학교 이학박사 학위 논문, 110 p
  5. 최광선, 이영철, 2001, 수치 지형자료를 이요한 중력의 지형보정. 지질학회지, 37, 133-142
  6. Aiken, C.L. and Cogbill, A.H., 1998, Recent developments in digital gravity data acquisition on land. The Leading Edge, 17, 93-97 https://doi.org/10.1190/1.1437842
  7. Bullard, E.C., 1936, Gravity measurements in East Africa, Philosophical Transactions of the Royal Society of London, 235, 445-534 https://doi.org/10.1098/rsta.1936.0008
  8. Bott, M.H.P., 1959, The use of electronic digital computers for the evaluation of gravimetric terrain corrections. Geophysical Prospecting, 8, 45-54
  9. Choi, K.S., Kim, J.H., and Yang, C.S., 1997, PNU95 Geoid. Korean Journal of Geophysical Research, 25, 1-13
  10. DMA, 1996, Performance specification Digital Terrain Elevation Data (DTED). Defence Mapping Agency, Documant Number: MIL-PRF-89020A, 40 p
  11. Global digital terrain model (DTM5) CD-ROM, 1995, University of Leeds
  12. Golden Software Inc., 2002, Surfer user's guide. 619 p
  13. Hammer, S., 1939, Terrain corrections for gravimeter stations. Geophysics, 4, 184-194 https://doi.org/10.1190/1.1440495
  14. Hayford, J.F. and Bowie, W., 1912, The effect of topography and Isostatic compensation upon the intensity of gravity. Bulletin of the American Geographical Society, 44 (6), 464-465 https://doi.org/10.2307/199909
  15. Interactive Software Services Ltd., 2005, Winteracter 6.10, On-line Docurnentation Collection
  16. Jung, K., 1961, Schwerkraftverfahren in der Angewandten Geophysik, Akad., Verlagsges., Geest and Portig K. G., Germany, 348 p
  17. Kane., M.F., 1962, A comprehensive system of terrain corrections using adigital computer. Geophysics, 27, 455-462 https://doi.org/10.1190/1.1439044
  18. Ketelaar, A.C.R., 1987, Terrain correction for gravity measurements, Using a digital terrain model (DTM). Geoexploration, 24, 109-124 https://doi.org/10.1016/0016-7142(87)90085-8
  19. LaFehr, T.R., 1991, An exact solution for the gravity curvature (Bullard B) correction. Geophysics, 56, 1179-1184 https://doi.org/10.1190/1.1443138
  20. Lemoine, F.G., Kenyon, S.C., Factor, J.K., Trimmer, R.G., Pavlis, N.K., Chin, D.S., Cox, C.M., Klosko, S.M., Luthcke, M.H., Torrence, M.H., Wang, Y.M., Williamson, R.G., Pavlis, E.C., Rapp, R.H., and Olson, T.R., 1998, The Development of the Joint NASA GSFC and the National Imagery Mapping Agency (NIMA) Geopotential Model EGM96, NASA/TP-1998-206861, 575 p
  21. Lyman, G.D., Aiken, C.L., Cogbill, A., Blade, M., and Lide, C., 1997, Terrain mapping by reflectorless laser rangefinding systems for inner zone gravity terrain corrections. Expanded Abstracts, 1997 SEG annual meeting, November 2-7, Dallas, TX
  22. Ma, X.Q. and Watts, D.R., 1994, Terrain correction program for regional gravity surveys. Computers and Geoscience, 20, 961-972 https://doi.org/10.1016/0098-3004(94)90037-X
  23. Nagy, D., 1966, The gravitational attraction of a right rectangular prism. Geophysics, 31, 362-371 https://doi.org/10.1190/1.1439779
  24. Nowell, D.A.G., 1999, Gravity terrain corrections - an overview. Journal of Applied Geophysics, 42, 117-134 https://doi.org/10.1016/S0926-9851(99)00028-2
  25. Parker, R.L., 1995, Improved Fourier terrain correction: Part I. Geophysics, 60, 1007-1017 https://doi.org/10.1190/1.1443829
  26. Reilly, W.I., 1972, New Zealand gravity map series. New Zealand Journal of Geology and Geophysics, 15, 3-15 https://doi.org/10.1080/00288306.1972.10423942
  27. Steinhauser, P., Meurers, B., and Ruess, D., 1990, Gravity investigations in Mountainous areas. Exploration Geophysics, 21, 161-168 https://doi.org/10.1071/EG990161
  28. Talwani, M., 1973, Computer Usages in the Computation of Gravity Anomalies. In Alder, B., Fernbach, S., and Rotenberg, M., Methods in Computational Physics. 13, 343-389

Cited by

  1. New Bouguer Gravity Maps of Venezuela: Representation and Analysis of Free-Air and Bouguer Anomalies with Emphasis on Spectral Analyses and Elastic Thickness vol.2012, pp.1687-8868, 2012, https://doi.org/10.1155/2012/731545